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One grain of sand is not a heap. And for any number n, if n grains of sand are not a heap, then the addition of just one more grain does not make them a heap. But in that case you can never get a heap, for each grain you add leaves you just as much without a heap as before. The paradox is serious because it raises a tension between classical logical and mathematical reasoning, and the ‘vague’ predicates of natural language. Solutions include approaches based on denying the second, inductive premise, on introducing ‘degrees of truth’, and on modifying classical logic into fuzzy logic.

Philosophy dictionary. . 2011.

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• Sorites paradox — The Sorites paradox ( σωρός ( sōros ) being Greek for heap and σωρίτης ( sōritēs ) the adjective) is a paradox that arises from vague predicates. The paradox of the heap is an example of this paradox which arises when one considers a heap of sand …   Wikipedia

• Sorites — may refer to:*Polysyllogism, a string of syllogisms *Sorites paradox, a special case of polysyllogism also referred to as the paradox of the heap …   Wikipedia

• paradox — A paradox arises when a set of apparently incontrovertible premises gives unacceptable or contradictory conclusions. To solve a paradox will involve either showing that there is a hidden flaw in the premises, or that the reasoning is erroneous,… …   Philosophy dictionary

• sorites problem — Paradox presented by the following reasoning: One grain of sand does not constitute a heap; if n grains of sand do not constitute a heap, then neither do n + 1 grains of sand; therefore, no matter how many grains of sand are put together, they… …   Universalium

• Paradox — Ein Paradoxon oder Paradox (altgriechisch παράδοξον, von παρα , para – gegen und δόξα, dóxa – Meinung, Ansicht), auch Paradoxie (παραδοξία) und in der Mehrzahl Paradoxa g …   Deutsch Wikipedia

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• Mere addition paradox — Part of a series on Utilitarianism …   Wikipedia

• millet seed paradox — A version of the Sorites paradox, although associated with Zeno s paradox, as it concerns the creation of a finite quantity from enough cases of ‘nothing’. A single millet seed falling makes no noise. And for any number n, n × 0 = 0. But a finite …   Philosophy dictionary